The osmotic pressure of urea solution is 500 mm at `100^@C`. The solution dilution and the temperature is raised to `250^@C`. The extent of dilution so that the osmotic pressure is to be 105.3 mm, is ___ times.

Explanation

Initial solution `- (500)/(760 xx V_1) = w/m xx 5 xx 283`
After dilution
`(105.3)/(500) xx V_2 = w/m xx 5 xx 298`
`(V_2)/(V_1) xx (105.3)/500 = 298/283 , (V_2)/(V_1) = 5`